314104130340 has 768 divisors, whose sum is σ = 1225031786496. Its totient is φ = 58027622400.

The previous prime is 314104130279. The next prime is 314104130369. The reversal of 314104130340 is 43031401413.

It is a super-2 number, since 2×314104130340² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314104130340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 237776880 + ... + 237778200.

It is an arithmetic number, because the mean of its divisors is an integer number (1595093472).

Almost surely, 2^314104130340 is an apocalyptic number.

314104130340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314104130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612515893248).

314104130340 is an abundant number, since it is smaller than the sum of its proper divisors (910927656156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314104130340 is a wasteful number, since it uses less digits than its factorization.

314104130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314104130340 its reverse (43031401413), we get a palindrome (357135531753).

It can be divided in two parts, 314104 and 130340, that added together give a palindrome (444444).

The spelling of 314104130340 in words is "three hundred fourteen billion, one hundred four million, one hundred thirty thousand, three hundred forty".